Notes on G 2 : The Lie algebra and the Lie group

@article{Fontanals2017NotesOG,
  title={Notes on G 2 : The Lie algebra and the Lie group},
  author={Cristina Draper Fontanals},
  journal={Differential Geometry and Its Applications},
  year={2017},
  volume={57},
  pages={23-74}
}
Abstract These notes have been prepared for the Workshop on “(Non)-existence of complex structures on S 6 ”, celebrated in Marburg in March, 2017. The material is not intended to be original. It contains a survey about the smallest of the exceptional Lie groups: G 2 , its definition and different characterizations as well as its relationship to the spheres S 6 and S 7 . With the exception of the summary of the Killing–Cartan classification, this survey is self-contained, and all the proofs are… 

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